Use the following tree diagram and its' probabilities to answer the question: white - watte 5e, Gts Wheat Wafe e5 Whte Ham 44Hash Brows Weffe t watfe -Waffle Wheat wafle Whte- Waffle Wheat wne Wheat S6 Grts 42 Fried Bacon 44 Hash Brown 43 65 Whte Wae Wheat 0 WhiteWete Wheat-warte 55 50. Onts Sausage 4 Weffle Hash Browns Whte- watfie Wheat-wae 65 White Wafe 44Hah Browns WhetWalfe 56 Grts 45 Ham 1. Walle White wte 65 58 Grts 42 35 WheatWae Scrambled Bacon 65 White Walfle Hash Browns 3 WheatWaffle Whte 65 35 Wheat 65 White 43 Waffle 56, Grts Sausage Waffle Waffe 44 Hash Brow Wheat- wame What is the probability that the next order of the All-Star Special is fried eggs, bacon, grits, white toast and a waffle?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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A. 8.51%

B. 55%

C. 84.08%

D. 91.59%

**Educational Transcript:**

### Analyzing a Tree Diagram for Probability

**Initial Scenario:**
- **Fried or Scrambled Eggs**:
  - Probability of choosing fried eggs: 0.55
  - Probability of choosing scrambled eggs: 0.45

**Branch Details:**

1. **Fried Eggs:**
   - **Meat Options:**
     - **Ham:**
       - Probability: 0.15
     - **Bacon:**
       - Probability: 0.42
     - **Sausage:**
       - Probability: 0.43

2. For each meat option, the next choice includes:
   - **Side Options:**
     - **Grits:**
       - Probability: 0.56
     - **Hash Browns:**
       - Probability: 0.44

3. For each side option, the bread choices are:
   - **Bread Options:**
     - **White:**
       - Probability: 0.65
     - **Wheat:**
       - Probability: 0.35

4. **Waffle:**
   - Each combination concludes with the option to add a waffle.

**Question:**
- What is the probability that the next order of the All-Star Special is *fried eggs, bacon, grits, white toast, and a waffle*?

**Calculating the Specific Probability:**

- **Choice Path:**
  - Fried Eggs (0.55) ➔ Bacon (0.42) ➔ Grits (0.56) ➔ White Toast (0.65)

  Calculation:
  \[
  0.55 \times 0.42 \times 0.56 \times 0.65 = 0.050568
  \]

The probability of ordering this specific combination is **0.050568**.
Transcribed Image Text:**Educational Transcript:** ### Analyzing a Tree Diagram for Probability **Initial Scenario:** - **Fried or Scrambled Eggs**: - Probability of choosing fried eggs: 0.55 - Probability of choosing scrambled eggs: 0.45 **Branch Details:** 1. **Fried Eggs:** - **Meat Options:** - **Ham:** - Probability: 0.15 - **Bacon:** - Probability: 0.42 - **Sausage:** - Probability: 0.43 2. For each meat option, the next choice includes: - **Side Options:** - **Grits:** - Probability: 0.56 - **Hash Browns:** - Probability: 0.44 3. For each side option, the bread choices are: - **Bread Options:** - **White:** - Probability: 0.65 - **Wheat:** - Probability: 0.35 4. **Waffle:** - Each combination concludes with the option to add a waffle. **Question:** - What is the probability that the next order of the All-Star Special is *fried eggs, bacon, grits, white toast, and a waffle*? **Calculating the Specific Probability:** - **Choice Path:** - Fried Eggs (0.55) ➔ Bacon (0.42) ➔ Grits (0.56) ➔ White Toast (0.65) Calculation: \[ 0.55 \times 0.42 \times 0.56 \times 0.65 = 0.050568 \] The probability of ordering this specific combination is **0.050568**.
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